Mathematics UPSC PYQ 2015

106 questions from the UPSC 2015 examination. Showing a preview of 3 below — generate a full practice test to solve the rest.

3 questions

1Medium10 marks

Give an example of a ring having identity but a subring of this having a different identity.

2Medium10 marks

A body moving under SHM has an amplitude 'a' and time period 'T'. If the velocity is trebled, when the distance from mean position is 2/3 a, the period being unaltered, find the new amplitude.

3Medium10 marks

Test the convergence and absolute convergence of the series sum_{n=1}^{infty} (-1)^{n+1} \frac{n}{n^2 + 1}

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